Functions

You can type the formula for the function. Many functions can be selected with a button. Graphic Calculus knows a number of functions which you can select from a box and paste into the formula box. You still must enter the variable, x or a function of x.

If you want to enter parameters in the function, you must separate them with a semicolon. Example: max(f;g;h).

The names of functions can sometimes cause a problem when the name of the function is used in the name of a parameter. For instance the parameter hints has got  the function int inside, so this will give the parameters h and s. Also y=cos c will rise a problem, but not y=sinc.

For every function in the list below you can find an example in the digital manual.

 Example1

 The inverse of the cosine,  defined on [-1; 1]

 Example2

 The inverse of the sinus, defined on [-1; 1]

 Example 3

 The inverse of the tangent

 Example 4

 with this function you can approximate the primitive of a function

 the syntax is: area(function;lowerbound;upperbounds;stepsize)

 example: area(sinx;0;x;0,1) gives the area below the sine graph from x=0

 Example 5

 the syntax is: bin(n;k)  where n and k are positive whole numbers.

 (In other cases bin is a composed gamma function)

 Example 6

                       This function is continuous for every x, but nowhere differentiable.

 Example 7 shows the construction of this function

 Example 8

 fac(n) gives n! for positive values of n

 This is convenient if you are constructing a Taylor series.

 Example 9

 with this function you can approximate the derivative

 the format is: grad(function;x;stepsize)

 example: grad(sinx;x;0,1) gives an approximation of the derivative of y=sinx

 Example 10

 the format is if(condition;functon1;funtion2)

 if the condition is satisfied the value is function1 otherwise the value is functon2

 Example 12

 the graph is plotted correctly if you choose the point plot drawing mode.

 Example 13

 the format is: max(function1;function2;…;…)

 You can use more than two functions.

 Example 14

 the format is: min(function1;function2;…;…)

 You can use more than two functions.

 Example 15

 the format is: norm(x;m;s)

 This gives the value of the Normal function at x where m is the mean and s the standard

 Example 16

                       rat is an approximation of a function defined by:

 rat(x) = 1 for x rational

 rat(x) = 0 for x irrational

 With this function you have to select the point plot drawing mode

 Rat is a pseudo-function because this function is not completely correct because of the finite precision of the computer

 Example 17

 gives a 1 with positive values of x, a -1 with negative values of x and 0 with zero.

 Example 18

 Example 19

 Example 20